13218630408 has 160 divisors (see below), whose sum is σ = 37526184960. Its totient is φ = 4364902080.

The previous prime is 13218630407. The next prime is 13218630437. The reversal of 13218630408 is 80403681231.

13218630408 is a `hidden beast` number, since 1 + 3 + 2 + 18 + 630 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13218630407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19997598 + ... + 19998258.

It is an arithmetic number, because the mean of its divisors is an integer number (234538656).

Almost surely, 2^13218630408 is an apocalyptic number.

13218630408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13218630408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763092480).

13218630408 is an abundant number, since it is smaller than the sum of its proper divisors (24307554552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13218630408 is an frugal number, since it uses more digits than its factorization.

13218630408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13218630408 in words is "thirteen billion, two hundred eighteen million, six hundred thirty thousand, four hundred eight".